BEM and FEM Analysis of the Fluid-Structure Interaction in Tanks with Baffles

BEM and FEM Analysis of the Fluid-Structure Interaction in Tanks with Baffles

Gnitko, V. Degtyariov, K. Naumenko, V. Strelnikova, E. Podgorny, A.N.

Institute for Mechanical Engineering Problems of the Ukrainian Academy of Sciences, Ukraine.

Page: 
317-328
|
DOI: 
https://doi.org/10.2495/CMEM-V5-N3-317-328
Received: 
N/A
| |
Accepted: 
N/A
| | Citation

OPEN ACCESS

Abstract: 

In this paper we consider vibrations of the baffled elastic fuel tank partially filled with a liquid. The compound shell was a simplified model of a fuel tank. The shell is considered to be thin and the Kirchhoff–Love linear theory hypotheses are applied. The liquid is supposed to be an ideal and incompressible one and its flow introduced by the vibrations of a shell is irrotational. The problem of the fluid-structure interaction was solved using the reduced boundary and finite element methods. The tank structure was modeled by the FEM and the liquid sloshing in a fluid domain was described by using the multi-domain BEM. The rigid and elastic baffled tanks of different forms were considered. The dependencies of frequencies via the filling level were obtained numerically for vibrations of the fluid-filled tanks with and without baffles.

Keywords: 

baffles, fluid-structure interaction, free vibrations, liquid sloshing, multi-domain boundary element method, systems of singular integral equations

  References

[1] Popov, G., Sankar, S. & Sankar, T.S., Dynamics of liquid sloshing in baffled and com-partmented road containers. Journal of Fluids and Structures, 7, pp. 803–821, 1993. http://dx.doi.org/10.1006/jfls.1993.1047

[2] Guorong, Y. & Rakheja, S., Straight-line braking dynamic analysis of a partly-filled baffled and unbaffled tank truck. Proceedings of the Institution of Mechanical Engi-neers, Part D: Journal of Automobile Engineering, 223, pp. 11–26, 2009. http://dx.doi.org/10.1243/09544070JAUTO973

[3] Lloyd, N., Vaiciurgis, E. & Langrish, T.A.G., The effect of baffle design on longitudinal liquid movement in road tankers: an experimental investigation. Process Safety and Environment Protection, 80(4), pp. 181–185, 2002. http://dx.doi.org/10.1205/095758202320439137

[4] Bermudez, A. & Rodrigues, R., Finite element analysis of sloshing and hydroelastic vibrations under gravity. Mathematical Modelling and Numerical Analysis, 33(2), pp. 305–327, 1999. http://dx.doi.org/10.1051/m2an:1999117

[5] Gavrilyuk, I., Lukovsky, I., Trotsenko, Yu. & Timokha, A., Sloshing in a vertical circu-lar cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions. Journal of Engineering Mathematics, 54, pp. 71–88, 2006. http://dx.doi.org/10.1007/s10665-005-9001-6

[6] Levitin M. & Vassiliev D., Vibrations of shells contacting fluid: asymptotic analysis. In Acoustic Interactions with Submerged Elastic Structures, eds A. Guran, J. Ripoche & F. Ziegler, World Scientific, 5, pp. 310–332, 1996. http://dx.doi.org/10.1142/9789812830593_0010

[7] Ventsel, E., Naumenko, V., Strelnikova, E. & Yeseleva, E., Free vibrations of shells of revolution filled with a fluid. Engineering Analysis with Boundary Elements, 34, pp. 856–862, 2010.

[8] Lamb, H., Hydrodynamics, 6th edn., Cambridge University Press, 1993.

[9] Degtyarev, K., Glushich, P., Gnitko, V. & Strelnikova, E., Numerical simulation of free liquid-induced vibrations in elastic shells. International Journal of Modern Physics and Applications, 1(4), pp. 159–168, 2015.

[10] Brebbia, C.A., Telles, J.C.F. & Wrobel, L.C., Boundary Element Techniques, Springer-Verlag: Berlin and New York, 1984. http://dx.doi.org/10.1007/978-3-642-48860-3

[11] Gnitko, V., Naumenko, V., Rozova, L. & Strelnikova, E., Multi-domain boundary ele-ment method for liquid sloshing analysis of tanks with baffles. Journal of Basic and Applied Research International, 17(1), pp. 75–87, 2016.

[12] Gavrilyuk, I., Hermann, M., Lukovsky, I., Solodun, O. & Timokha, A., Natural sloshing frequencies in truncated conical tanks. Engineering Computations, 25(6), pp. 518–540, 2008. http://dx.doi.org/10.1108/02644400810891535